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Finding the Fourth Proportional to 10,208.79, 15,283.44 and 7,587.90

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Solution

The fourth proportional to 10,208.79, 15,283.44 and 7,587.90 is: 11,359.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,208.79 : 15,283.44 = 7,587.90 : x
  2. Step 2: Convert to fraction form
    10,208.79/15,283.44 = 7,587.90/x
  3. Step 3: Cross multiply
    10,208.79x = 15,283.44 × 7,587.90
  4. Step 4: Simplify right side
    10,208.79x = 115,969,214.38
  5. Step 5: Solve for x
    x = 115,969,214.38/10,208.79
  6. Step 6: Final answer
    x = 11,359.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.